# Feb04 - PHY 131: University Physics II Lecture 6:...

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John Shumway Department of Physics and Astronomy Arizona State University • Tempe • Arizona http://physics.asu.edu/shumway [email protected] PHY 131: University Physics II Lecture 6: Applications of Gauss’s Law Young and Freedman, Chapter 22.4, 22.5 9:00–10:15, Tuesday, February 4, 2010 PSF 173 • Department of Physics r R 1

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[email protected] Gauss’s Law relates electric fux through a closed surFace to the enclosed charge; use it to calculate electric ±elds! E · d A = Q enc ± 0 Problem solving strategy: (1) Think about how the electric ±eld should look, considering the symmetry oF the charge distribution. (2) Draw a careFully chosen Gaussian surFace that cuts through the point where you want to know the electric ±eld. (3) ²ind the charge enclosed by the surFace (Q enc ). (4) Calculate the total electric fux through the surFace ( Φ E ). This expression will contain the (unknown) magnitude oF the electric ±eld, E. (5) Solve Gauss’s law, Φ E =Q enc / ε 0 , to ±nd the magnitude oF the ±eld, E. 2
[email protected] Example: Use Gauss’s law to fnd the electric feld a radial distance r From a line oF charge with linear charge density λ . ++++++++++++++++ 1. By symmetry, E-feld must be radially outward or inward.

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## This note was uploaded on 03/10/2010 for the course MATHEMATIC 242 taught by Professor Heckman during the Spring '10 term at University of Arizona- Tucson.

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Feb04 - PHY 131: University Physics II Lecture 6:...

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